
Publications
Theses:

Homogene kompakte Räume, Master's thesis, FU Berlin (1995)
On sigmafiltered Boolean algebras, PhD thesis, FU Berlin (2000)

Convex geometry, continuous Ramsey theory, and ideals generated by graphs of functions, a survey of the articles reviewed for my Habilitation, FU Berlin (2005)
Refereed articles (original research):

On the weak FreeseNation property of P(omega), coauthors: Sakae Fuchino and Lajos Soukup, Archive for Mathematical Logic 40 (2001), no. 6, 425435

On the weak FreeseNation property of complete Boolean algebras, coauthors: Sakae Fuchino, Saharon Shelah, and Lajos Soukup, Annals of Pure and Applied Logic 110 (2001), no. 13, 80105

On tightly kappafiltered Boolean algebras, Algebra Universalis 47 (2002), 6993

Convex decompositions in the plane and continuous pair colorings of the irrationals, coauthors: Menachem Kojman, Wieslaw Kubis, and Rene Schipperus, Israel J. Math. 131 (2002), 285317

Convexity numbers of closed subsets in R^n, coauthor: Menachem Kojman, Proc. Am. Math. Soc. 130, No. 10 (2002), 28712881

Some notes concerning the homogeneity of Boolean algebras and Boolean spaces, coauthor: Saharon Shelah, Topology and its Applications 133 (2003), 241253

Covering R^{n+1} by graphs of nary functions and long linear orderings of Turing degrees, coauthor: Uri Abraham, Proc. Am. Math. Soc. 132, No. 11 (2004), 33673377

Some combinatorial principles defined in terms of elementary submodels (formerly "Remarks on a paper of Juhasz and Kunen"), coauthor: Sakae Fuchino, Fund. Math. 181 (2004), 233255

A note on minimal dynamical systems, Acta Univ. Carol., Math. Phys. 45, No.2 (2004), 3543

Continuous Ramsey theory on Polish spaces and covering the plane by functions, coauthors: Martin Goldstern, Menachem Kojman, Journal of Mathematical Logic, Vol. 4, No. 2 (2004), 109145

More convexity numbers of closed sets in R^n, Proc. Am. Math. Soc. 133 (2005), 13071315

A dual open coloring axiom, Annals of Pure and Applied Logic 140 (2006), 4051

The coinitiality of a compact space, Topology Proceedings 30 No. 1 (2006), 237250

Injective and projective TBoolean algebras, coauthors: Richard N. Ball and James N. Hagler, Journal of Pure and Applied Algebra, Volume 209, Issue 1 (2007), 136

Metric Baumgartner theorems and universality, coauthor: Menachem Kojman, Math. Res. Lett. 14 (2007), no. 2, 215226.
A false statement about universal separable linear orders is corrected in my note
Separable linear orders and universality

Functions for which all points are a local minimum or maximum, coauthors: Ehrhard Behrends, Tomasz Natkaniec, Real Analysis Exchange, Vol. 33(2) (2007/2008), 14

Potential continuity of colorings, Archive for Mathematical Logic 47 (2008), No. 6, 567578

The number of openly generated Boolean algebras, coauthor: Saharon Shelah, Journal of Symbolic Logic 73 (2008), 151164

Low distortion embeddings of infinite metric spaces, Ann. Pure Appl. Logic 157 (2009), no. 23, 148160

An upper bound for the cellularity of the phase space of a minimal dynamical system, Topology Proc. 36 (2010), 393398. This is an updated version in which a gap that was found by David Milovich has been filled.

The coinitialities of Efimov spaces, Set Theory and its Applications, Babinkostova et al., Editors, Contemporary Mathematics 533 (2011), 259265

Weak Borel chromatic numbers, Mathematical Logic Quarterly, Volume 57, Issue 1 (2011), 513

Symmetrized induced Ramsey theorems, coauthor: Menachem Kojman, Graphs and Combinatorics, Volume 27, Issue 6 (2011), 851864

Basis theorems for continuous ncolorings, coauthor: Stefanie Frick, Journal of Combinatorial Theory, Series A, Volume 118, Issue 4 (2011), 13341349

How to drive our families mad, coauthors: Sakae Fuchino, Osvaldo Guzman, Lajos Soukup, to appear

Clopen graphs, Fundamenta Mathematicae 220, No. 2 (2013), 155189
2dimensional convexity numbers and P_4free graphs, Canadian Mathematical Bulletin 57(2014), 6171

Selfdual uniform matroids on infinite sets, coauthor: Nathan Bowler, Proc. Am. Math. Soc. 144, No. 2 (2016), 459471

Minimal obstructions for normal spanning trees , coauthors: Nathan Bowler, Max Pitz, Fund. Math. 241 (2018), 245263

The nonexistence of universal metric flows, Comment. Math. Univ. Carolinae, vol. 59, no. 4 (2018), pp. 487493

Partitioning subgraphs of pro finite ordered graphs,
coauthors: Stefanie Huber und Menachem Kojman, Combinatorica 39, No. 3 (2019),
659678. This used to be "An induced Ramsey theorem for modular profinite graphs"
Refereed survey papers:

Applications of elementary submodels in general topology, in Foundations of the Formal Sciences I, Humboldt Universität zu Berlin, May 79, 1999, eds. Benedikt Löwe and Florian Rudolph, Synthese Volume 133 Nos. 12, October/November 2002, 3141

On Sacks Forcing and the Sacks Property, coauthor: Sandra Quickert, Foundations of the Formal Sciences III (B. Löwe, B. Piwinger, T. Räsch eds.), Complexity in Mathematics and Computer Science, Papers of a Conference in Vienna, September 2124, 2001, Kluwer Academic Publishers, Dordrecht 2004 [Trends in Logic]
Preprints, recent submissions, and nonrefereed papers:

Almost disjoint families on large underlying sets, coauthors: Sakae Fuchino, Lajos Soukup, RIMS Kokyuroku, No.1530 (2007), 516

Functions with many local extrema, RIMS Kokyuroku, No. 1619 (2008), 4347

Almost disjoint and independent families, RIMS Kokyuroku, No. 1790, 19 (2012)

Choice and the hat game, coauthors: Robert Lubarsky and Mona Rahn, RIMS Kokuryoku Vol. 1949, 3444 (2015)

The shift on P(omega)/fin, preprint

Scrambled Cantor sets , coauthors: Jan Grebík, Benjamin D. Miller, submitted

Halin's end degree conjecture, coauthors: Jan Kurkofka, Ruben Melcher and Max Pitz, submitted
Notes and papers that are not meant to be published in a journal:

Analytic determinacy and sharps, Preprint Nr. A052002, FB Mathematik und Informatik, Serie A: Mathematik.

Incomplete metric spaces and Banach's fixed point theorem, preprint. This article has been superceded by [M. Elekes, On a converse to Banach's Fixed Point Theorem, Proc. Amer. Math. Soc. 137 (2009), no. 9, 31393146].

Negative induced Ramsey theorems

Convex open sets in ndimensional space

Separable linear orders and universality


